47956

Appears in sequences

• a(n) = 5*a(n-1) - a(n-2), with a(1)=1, a(2)=4.at n=7A004253
• Array T(k,n) read by antidiagonals. G.f.: x(1-x)/(1-kx+x^2), k>1.at n=62A094954
• Expansion of q^2 in powers of m/16 where q is Jacobi nome and m is the parameter.at n=6A119463
• Triangle T(n, k) = (k*ChebyshevU(n, (k+2)/2) + 2*ChebyshevT(n+1, (k+2)/2))/2.at n=17A121872
• Fifth in an infinite set of generalized Pascal's triangles, with trigonometric properties.at n=35A125078
• Numerators in continued fraction [0; 1, 3, 1, 3, 1, 3, ...].at n=14A136210
• Denominators in continued fraction [0; 1, 3, 1, 3, 1, 3, ...].at n=13A136211
• a(n) = (a(n-1)*a(n-3) + 1) / a(n-4) with a(0) = a(1) = a(2) = a(3) = 1.at n=24A217787
• Array a(n,m) read by antidiagonals where a(0,m)=a(1,m)=1 and a(n,m) = m*a(n-1,m)-a(n-2,m) for n>=2.at n=99A218220
• Generalized Markoff numbers: union of numbers a, b, c, d, e satisfying the Markoff(5) equation a^2 + b^2 + c^2 + d^2 + e^2 = 5*a*b*c*d*e.at n=11A229242
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = 2^n * sqrt(Resultant(U_{2*n}(x/2), T_{k}(i*x/2))), where T_n(x) is a Chebyshev polynomial of the first kind, U_n(x) is a Chebyshev polynomial of the second kind and i = sqrt(-1).at n=62A334178
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = Product_{a=1..n} Product_{b=1..k} (4*sin(a*Pi/(2*n+1))^2 + 4*cos(b*Pi/(2*k+1))^2).at n=37A340476